{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Using matplotlib backend: Qt5Agg\n",
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/ch/.local/lib/python3.7/site-packages/IPython/core/magics/pylab.py:160: UserWarning: pylab import has clobbered these variables: ['fft']\n",
      "`%matplotlib` prevents importing * from pylab and numpy\n",
      "  \"\\n`%matplotlib` prevents importing * from pylab and numpy\"\n"
     ]
    }
   ],
   "source": [
    "%pylab\n",
    "import importlib.util\n",
    "import sys\n",
    "sys.path.append('/home/ch/src/modulated-messages')\n",
    "from receive import *\n",
    "from decode import *\n",
    "import config\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "plt.style.use('bmh')\n",
    "plt.rcParams['figure.figsize'] = [15, 9]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "frequency = config.frequency\n",
    "offset = config.offset\n",
    "samp_rate = config.rec_samp_rate\n",
    "baud = config.baud\n",
    "samp_per_bit = samp_rate/baud"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "path = '/home/ch/src/modulated-messages/samples'\n",
    "samples = np.load(f'{config.path}/rec.npy')\n",
    "\n",
    "am_signal = np.load(f'{path}/am_signal.npy')\n",
    "t = np.load(f'{config.path}/t.npy')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Transmitted AM Signal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Amplitude')"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(t, am_signal)\n",
    "plt.xlabel('Time (s)')\n",
    "plt.ylabel('Amplitude')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Received Signal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Amplitude')"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fm_demodulated_wave, new_samp_rate = fm_demodulate(samples, frequency, offset, samp_rate)\n",
    "plt.plot(fm_demodulated_wave)\n",
    "plt.xlabel('Sample')\n",
    "plt.ylabel('Amplitude')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## FFT"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Magnitude')"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "samples = samples[:samp_rate]\n",
    "fft = scipy.fftpack.fft(samples)\n",
    "freqs = scipy.fftpack.fftfreq(len(samples)) * samp_rate\n",
    "plt.plot(freqs, np.abs(fft))\n",
    "plt.xlabel('Frequency')\n",
    "plt.ylabel('Magnitude')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Amplitude')"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "start = detect_transmission_start(fm_demodulated_wave)\n",
    "end = len(fm_demodulated_wave) - detect_transmission_start(fm_demodulated_wave[::-1]) + 500\n",
    "plt.plot(fm_demodulated_wave[start:])\n",
    "plt.xlabel('Sample')\n",
    "plt.ylabel('Amplitude')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Envelope"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Amplitude')"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "wave = fm_demodulated_wave[start:end]\n",
    "samp_per_bit = new_samp_rate/baud\n",
    "smoothed_wave = smooth(np.abs(wave), window_len=21, window='flat')\n",
    "envelope = get_envelope(smoothed_wave)[10:-10]\n",
    "plt.plot(envelope)\n",
    "plt.xlabel('Sample')\n",
    "plt.ylabel('Amplitude')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Square wave"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "square_wave = binary_slicer(envelope)\n",
    "plt.plot(square_wave)\n",
    "plt.xlabel('Sample')\n",
    "plt.ylabel('Amplitude')\n",
    "rec_bits = manchester(square_wave, samp_per_bit)\n",
    "print(rec_bits)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0\n",
      "a\n"
     ]
    }
   ],
   "source": [
    "valid, message, fragmented = demux(rec_bits)\n",
    "print(message)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
